Answer:
No, the closest to -451 in the sequence is -429
Step-by-step explanation:
Answer:
0.04
I rounded to one significant figures.
Step-by-step explanation:
1) -5x<35
we divide both sides by 5
-5x/5<35/5
-x<7
we divide both sides by-1 to remove the negative sign
-x/-1<7/-1
x<7/-1
2) 2x>-42
we divide both sides by 2
2x/2>-42/2
x>-21
3) x/3≤-7
we multiply by 3 and we cancel 3
3(x/3)≤3(-7) we cancel the 3
x≤-21
4) x/-4≥-4
we do the same thing
x≥1
Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
